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Tensor Fields on C1 Fuzzy Compact Manifolds

Published: 29 December 2017 Publication History

Abstract

This paper presents the definition of tensor fields of type (r, s) on C1 fuzzy compact manifolds, and in view of the fact that the definition is abstract concept, therefore presents the theorem which concretely shows the local expressions of tensor fields of type (r, s). The key of the proof of the theorem lies in the fuzzy localization, and the fuzzification of tensor fields of ordinary manifolds. This paper provides the new structure of tensor fields to C1 fuzzy compact manifolds.

References

[1]
Fecko, M., 2006. Differential geometry and Lie groups for physicists. Cambridge University Press, Cambridge, UK, 2006.
[2]
WeiHuan, C., 2002. Riemann geometry. Peking University Press, Beijing.
[3]
Ferraro, M., Foster, D., 1993, C1 fuzzy manifolds. Fuzzy sets and systems, 54 (1993), 99--106.
[4]
Nadjafikhah, M.,2009, Bakhshandeh Chamazkoti, R., Fuzzy Lie groups. arXiv:0908.0254, Aug, 2009.
[5]
Sanchez, I., Sanchis, M.,2017, Complete invariant fuzzy metrics on groups. Fuzzy sets and systems, 2017 (article in press).
[6]
Behera, A., 1998. Fuzzy topological intersection theorem. Fuzzy sets and systems, 96 (1998), 119--123.
[7]
Das, P., 1998. Fuzzy topology on fuzzy sets: product fuzzy topology and fuzzy topological groups. Fuzzy sets and systems, 100 (1998), 367--372.
[8]
Georiou D. N., 2002. Papadopoulos, B. K., On nearly compact topological and fuzzy topological spaces. Topological and its applications, 123 (2002), 73--85.

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  1. Tensor Fields on C1 Fuzzy Compact Manifolds

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    ICRAI '17: Proceedings of the 3rd International Conference on Robotics and Artificial Intelligence
    December 2017
    127 pages
    ISBN:9781450353588
    DOI:10.1145/3175603
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    • Nanyang Technological University

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 29 December 2017

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    Author Tags

    1. C1 fuzzy compact manifolds
    2. Fuzzy localization
    3. Local expression
    4. Tensor fields

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